Electromagnetic wave propagation in a nonlinear hyperbolic medium

TL;DR

This paper investigates electromagnetic wave propagation in nonlinear hyperbolic media, revealing unlimited modulation instability regions, and models the phenomenon using hyperbolic nonlinear Schrödinger and Manakov equations.

Contribution

It introduces a theoretical framework for wave propagation in nonlinear hyperbolic media and identifies the unbounded modulation instability regions.

Findings

Modulation instability region is unbounded in hyperbolic media.

Wave propagation described by hyperbolic nonlinear Schrödinger or Manakov equations.

Unlimited modulation instability regions contrast with ordinary media.

Abstract

The propagation of a quasi-harmonic electromagnetic wave in a bulk hyperbolic dielectric metamaterial is considered. If the group velocities dispersion is not taken into account, then wave propagation can be described either by the hyperbolic nonlinear Schrodinger equation or by the hyperbolic Manakov equations. It is shown that the region in the space of wave vectors in which the modulation instability of a spatially homogeneous wave is possible is not limited, in contrast to the case of ordinary media.